A nonlinear optical medium with nonlocal feedback is shown to have all the necessary ingredients to simulate a growthlike process that generates golden spirals and phyllotactic patterns. Elementary droplets of light are generated by the optical nonlinearity whereas the combination of rotation and translation in the feedback loop geometrically distributes them on spiraling patterns. The symmetry of the geometrical arrangements is described with the help of a simple replication algorithm. © 2013 American Physical Society.

Golden spirals as phyllotactic arrangements of optical patterns

Residori, Stefania
2013-01-01

Abstract

A nonlinear optical medium with nonlocal feedback is shown to have all the necessary ingredients to simulate a growthlike process that generates golden spirals and phyllotactic patterns. Elementary droplets of light are generated by the optical nonlinearity whereas the combination of rotation and translation in the feedback loop geometrically distributes them on spiraling patterns. The symmetry of the geometrical arrangements is described with the help of a simple replication algorithm. © 2013 American Physical Society.
optics; liquid crystals; pattern formation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/903216
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